{"id":709,"date":"2017-05-03T09:17:42","date_gmt":"2017-05-03T08:17:42","guid":{"rendered":"https:\/\/www1.caminos.upm.es\/matematicas\/?page_id=709"},"modified":"2025-12-18T13:45:45","modified_gmt":"2025-12-18T12:45:45","slug":"seminarios","status":"publish","type":"page","link":"https:\/\/www1.caminos.upm.es\/matematicas\/seminarios\/","title":{"rendered":"Seminarios"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"709\" class=\"elementor elementor-709\">\n\t\t\t\t\t\t<div class=\"elementor-inner\">\n\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-33fa40b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"33fa40b\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-8e7f69f\" data-id=\"8e7f69f\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b676923 elementor-widget elementor-widget-heading\" data-id=\"b676923\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Actualmente<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-2ec4595 elementor-section-boxed elementor-section-height-default elementor-section-height-default elementor-invisible\" data-id=\"2ec4595\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;animation&quot;:&quot;fadeInRight&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-3114c58\" data-id=\"3114c58\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b05e562 elementor-widget elementor-widget-heading\" data-id=\"b05e562\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">08 de enero\n2026<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-bc7a635 elementor-widget elementor-widget-heading\" data-id=\"bc7a635\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">18:00<\/h5>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-7df9701\" data-id=\"7df9701\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-158fdb8 elementor-widget elementor-widget-heading\" data-id=\"158fdb8\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/portalcientifico.upm.es\/es\/ipublic\/researcher\/338169\" target=\"_blank\">PABLO GABRIEL ZANINELLI GARCIA (UPM)<\/a><\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-66a10c1\" data-id=\"66a10c1\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8d07264 elementor-tabs-view-vertical elementor-widget elementor-widget-tabs\" data-id=\"8d07264\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;none&quot;}\" data-widget_type=\"tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-tabs\">\n\t\t\t<div class=\"elementor-tabs-wrapper\" role=\"tablist\" >\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1471\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-1471\" aria-expanded=\"false\"><a href=\"\">Charla<\/a><\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1472\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1472\" aria-expanded=\"false\"><a href=\"\">Resumen<\/a><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t<div class=\"elementor-tabs-content-wrapper\" role=\"tablist\" aria-orientation=\"vertical\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-1471\" aria-expanded=\"false\">Charla<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1471\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1471\" tabindex=\"0\" hidden=\"false\"><h3><b><i>M\u00e1s all\u00e1 de los m\u00e9todos cl\u00e1sicos de atribuci\u00f3n: atribuci\u00f3n r\u00e1pida y explicable de eventos extremos con modelos de ML<\/i><\/b><\/h3><p style=\"text-align: left;\"><b>Aula 2 de la ETSI Navales (1\u00aa planta, C. Universitaria)<\/b><\/p><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1472\" aria-expanded=\"false\">Resumen<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1472\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1472\" tabindex=\"0\" hidden=\"hidden\"><p><span style=\"background-color: transparent; font-size: 14.6667px; text-align: left;\">En esta presentaci\u00f3n se parte de un repaso de los m\u00e9todos cl\u00e1sicos de atribuci\u00f3n de eventos extremos \u2014incluyendo los enfoques basados en experimentos de mundos factual y contrafactual, Optimal Fingerprint para atribuci\u00f3n de la tendencia, storylines y m\u00e9todos de atribuci\u00f3n de eventos simples\u2014 para situar el marco conceptual desde el cual se interpretan los cambios en la probabilidad de ocurrencia de eventos raros. Sobre esa base, se introduce un enfoque alternativo que habilita atribuci\u00f3n cuasi en tiempo real, sin recurrir a grandes ensembles de simulaciones ni depender de supuestos de distribuciones param\u00e9tricas o de estructuras de covariabilidad predefinidas. El n\u00facleo del m\u00e9todo es un autoencoder variacional (VAE) entrenado con campos diarios de temperatura provenientes de HadGEM3-GC31-LL y ERA5. A partir de los gradientes de sus dos t\u00e9rminos de p\u00e9rdida \u2014el error de reconstrucci\u00f3n y la divergencia KL\u2014 se definen tres m\u00e9tricas locales, sin necesidad de umbrales, que cuantifican las desviaciones respecto de condiciones preindustriales y muestran una marcada anticorrelaci\u00f3n con la probabilidad contrafactual de excedencia de un evento clim\u00e1tico.<\/span><\/p><p>\u00a0<\/p><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-466deef elementor-section-boxed elementor-section-height-default elementor-section-height-default elementor-invisible\" data-id=\"466deef\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;animation&quot;:&quot;fadeInRight&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-049b9c3\" data-id=\"049b9c3\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-9a30adb elementor-widget elementor-widget-heading\" data-id=\"9a30adb\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">27 de OCTUBRE\n2025<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4ae94da elementor-widget elementor-widget-heading\" data-id=\"4ae94da\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">14:30<\/h5>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-7e66755\" data-id=\"7e66755\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-bdad891 elementor-widget elementor-widget-heading\" data-id=\"bdad891\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/molab.es\" target=\"_blank\">JES\u00daS BOSQUE MART\u00edNEZ (UPM)<\/a><\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-611edb4\" data-id=\"611edb4\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1aff8f8 elementor-tabs-view-vertical elementor-widget elementor-widget-tabs\" data-id=\"1aff8f8\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;none&quot;}\" data-widget_type=\"tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-tabs\">\n\t\t\t<div class=\"elementor-tabs-wrapper\" role=\"tablist\" >\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-2831\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-2831\" aria-expanded=\"false\"><a href=\"\">Charla<\/a><\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-2832\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-2832\" aria-expanded=\"false\"><a href=\"\">Resumen<\/a><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t<div class=\"elementor-tabs-content-wrapper\" role=\"tablist\" aria-orientation=\"vertical\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-2831\" aria-expanded=\"false\">Charla<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2831\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-2831\" tabindex=\"0\" hidden=\"false\"><h3><b><i>Next steps in mathematical modeling of cancer metabolism\u00a0<\/i><\/b><\/h3><p style=\"text-align: left;\"><b>Aula 30 de la ETSI Caminos (1\u00aa planta, C. Universitaria)<\/b><\/p><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-2832\" aria-expanded=\"false\">Resumen<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2832\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-2832\" tabindex=\"0\" hidden=\"hidden\"><p><span style=\"font-size: 11.0pt; font-family: 'Calibri',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-ansi-language: ES; mso-fareast-language: ES; mso-bidi-language: AR-SA;\">Although cancer remains one of the most studied diseases, our <br \/>quantitative understanding of its progression is still incomplete. In <br \/>this talk, I will discuss recent advances in mathematical modeling <br \/>that aim to bridge this gap by linking tumor metabolism, imaging, and <br \/>treatment response. Starting from a nonlocal partial differential <br \/>equation for tumor growth, we identified a compact metric derived from <br \/>metabolic imaging that correlates with patient survival. This result, <br \/>in turn, motivates new questions about how metabolic activity is <br \/>spatially organized within tumors. To address this, we apply a <br \/>topological data analysis framework that quantifies global metabolic <br \/>patterns beyond simple intensity-based measures. Next, I will present <br \/>agent-based simulations that incorporate vascular structures to <br \/>capture aspects of tumor evolution inaccessible to continuum models. <br \/>To conclude I will outline an approach to model novel therapies <br \/>targeted at white blood cells. Together, these studies provide an <br \/>overview of my research that articulates the next steps in my\u00a0<\/span><span style=\"background-color: transparent; font-family: Calibri, sans-serif; font-size: 11pt; text-align: left;\">scientific path.<\/span><\/p><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-4f3a70f elementor-section-boxed elementor-section-height-default elementor-section-height-default elementor-invisible\" data-id=\"4f3a70f\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;animation&quot;:&quot;fadeInRight&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-3ca8cf2\" data-id=\"3ca8cf2\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-36ce248 elementor-widget elementor-widget-heading\" data-id=\"36ce248\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">22 de septiembre\n<br>2025<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0819de0 elementor-widget elementor-widget-heading\" data-id=\"0819de0\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">14:30<\/h5>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-ddfef5c\" data-id=\"ddfef5c\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-9db1fe9 elementor-widget elementor-widget-heading\" data-id=\"9db1fe9\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/irinaarevalo.github.io\/\" target=\"_blank\">IRINA AR\u00c9VALO BARCO (UPM)<\/a><\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-19082eb\" data-id=\"19082eb\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7fe673f elementor-tabs-view-vertical elementor-widget elementor-widget-tabs\" data-id=\"7fe673f\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;none&quot;}\" data-widget_type=\"tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-tabs\">\n\t\t\t<div class=\"elementor-tabs-wrapper\" role=\"tablist\" >\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1341\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-1341\" aria-expanded=\"false\"><a href=\"\">Charla<\/a><\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1342\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1342\" aria-expanded=\"false\"><a href=\"\">Resumen<\/a><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t<div class=\"elementor-tabs-content-wrapper\" role=\"tablist\" aria-orientation=\"vertical\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-1341\" aria-expanded=\"false\">Charla<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1341\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1341\" tabindex=\"0\" hidden=\"false\"><h3><b><i>De la IA Centralizada a la IA Colaborativa: Fundamentos y Retos del Aprendizaje Federado<\/i><\/b><\/h3><p style=\"text-align: left;\"><b>Aula 2 de la ETSI Navales (1\u00aa planta, C. Universitaria)<\/b><\/p><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1342\" aria-expanded=\"false\">Resumen<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1342\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1342\" tabindex=\"0\" hidden=\"hidden\"><p>El aprendizaje federado (Federated Learning en ingl\u00e9s) es un enfoque de entrenamiento de modelos de inteligencia artificial en el que los datos permanecen en los dispositivos o instituciones donde se generan y, en lugar de centralizarlos, se comparten \u00fanicamente los par\u00e1metros o actualizaciones del modelo. Este m\u00e9todo permite entrenar modelos de manera colaborativa mientras se preserva la privacidad. A pesar de sus ventajas, el aprendizaje federado plantea importantes desaf\u00edos, como la heterogeneidad de los datos, la eficiencia en la comunicaci\u00f3n, la seguridad y privacidad, y la equidad en el rendimiento de los modelos. En este seminario veremos una introducci\u00f3n a los principios fundamentales del aprendizaje federado, as\u00ed como a sus aplicaciones m\u00e1s relevantes y a los retos de investigaci\u00f3n que siguen abiertos.\u00a0<\/p><p><span style=\"background-color: transparent; font-size: 1.6rem;\">En la segunda parte, presentar\u00e9 mi trabajo reciente en este \u00e1mbito, centrado en mejorar la eficacia y la aplicabilidad del aprendizaje federado. Hemos investigado el impacto que tienen las estrategias de agregaci\u00f3n en el rendimiento de los modelos, realizando un estudio comparativo en entornos peer-to-peer con datos biom\u00e9dicos. Tambi\u00e9n hemos propuesto un m\u00e9todo de encriptaci\u00f3n basado en mapas ca\u00f3ticos que protege la privacidad sin sacrificar precisi\u00f3n, ofreciendo mejores resultados que t\u00e9cnicas tradicionales como la privacidad diferencial. Finalmente, desarrollamos un marco para el aprendizaje federado de Mapas Cognitivos Difusos (Fuzzy Cognitive Maps en ingl\u00e9s), combinando modelos causales con optimizaci\u00f3n distribuida para facilitar su aplicaci\u00f3n en escenarios reales, como la investigaci\u00f3n biom\u00e9dica.\u00a0<\/span><\/p><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-d15cb8a elementor-section-boxed elementor-section-height-default elementor-section-height-default elementor-invisible\" data-id=\"d15cb8a\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;animation&quot;:&quot;fadeInRight&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-8f81304\" data-id=\"8f81304\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4b6aa42 elementor-widget elementor-widget-heading\" data-id=\"4b6aa42\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">03 de julio\n<br>2025<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2c6afdd elementor-widget elementor-widget-heading\" data-id=\"2c6afdd\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">18:30<\/h5>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-84dca1c\" data-id=\"84dca1c\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-25b3071 elementor-widget elementor-widget-heading\" data-id=\"25b3071\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/dcain.etsin.upm.es\/~jorge\/\" target=\"_blank\">Jourge Urroz (UPM)<\/a><\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-e5ee0a8\" data-id=\"e5ee0a8\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-fc697e7 elementor-tabs-view-vertical elementor-widget elementor-widget-tabs\" data-id=\"fc697e7\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;none&quot;}\" data-widget_type=\"tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-tabs\">\n\t\t\t<div class=\"elementor-tabs-wrapper\" role=\"tablist\" >\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-2641\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-2641\" aria-expanded=\"false\"><a href=\"\">Charla<\/a><\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-2642\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-2642\" aria-expanded=\"false\"><a href=\"\">Resumen<\/a><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t<div class=\"elementor-tabs-content-wrapper\" role=\"tablist\" aria-orientation=\"vertical\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-2641\" aria-expanded=\"false\">Charla<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2641\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-2641\" tabindex=\"0\" hidden=\"false\"><h3><em><strong>Factorizando modulos RSA con informaci\u00f3n a\u00f1adida<\/strong><\/em><\/h3><p style=\"text-align: left;\"><b>Aula 1 de la ETSI Navales (1\u00aa planta, C. Universitaria)<\/b><\/p><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-2642\" aria-expanded=\"false\">Resumen<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2642\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-2642\" tabindex=\"0\" hidden=\"hidden\"><p>La seguridad de numerosos protocolos, desde informaci\u00f3n confidencial en manos de agencias de inteligencia, hasta tarjetas de cr\u00e9dito, se basa en la dificultad de factorizar enteros que son producto de primos, conocidos como m\u00f3dulos RSA. En esta charla, veremos que este problema se puede resolver de forma polin\u00f3mica cuando tenemos informaci\u00f3n adicional, relacionada con la factorizaci\u00f3n de enteros a disposici\u00f3n del atacante.<br \/>Concretamente probaremos la conjetura de Paillier y Villar sobre maleabilidad y demostraremos la equivalencia entre factorizar m\u00f3dulos RSA y contar puntos de coordenadas enteras en curvas el\u00edpticas.<\/p><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-f8ff884 elementor-section-boxed elementor-section-height-default elementor-section-height-default elementor-invisible\" data-id=\"f8ff884\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;animation&quot;:&quot;fadeInRight&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-3669f30\" data-id=\"3669f30\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5b05076 elementor-widget elementor-widget-heading\" data-id=\"5b05076\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">19 de mayo\n<br>2025<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a3c8c81 elementor-widget elementor-widget-heading\" data-id=\"a3c8c81\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">14:30<\/h5>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-369fcf5\" data-id=\"369fcf5\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8402552 elementor-widget elementor-widget-heading\" data-id=\"8402552\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/albertolastra.web.uah.es\/wp\/\" target=\"_blank\">Juan Manuel Serrano (URJC & Habla computing)<\/a><\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-99fba1e\" data-id=\"99fba1e\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b141e6e elementor-tabs-view-vertical elementor-widget elementor-widget-tabs\" data-id=\"b141e6e\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;none&quot;}\" data-widget_type=\"tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-tabs\">\n\t\t\t<div class=\"elementor-tabs-wrapper\" role=\"tablist\" >\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1851\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-1851\" aria-expanded=\"false\"><a href=\"\">Charla<\/a><\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1852\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1852\" aria-expanded=\"false\"><a href=\"\">Resumen<\/a><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t<div class=\"elementor-tabs-content-wrapper\" role=\"tablist\" aria-orientation=\"vertical\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-1851\" aria-expanded=\"false\">Charla<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1851\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1851\" tabindex=\"0\" hidden=\"false\"><h3><em><strong>Computaci\u00f3n y l\u00f3gica: dos caras de la misma moneda<\/strong><\/em><\/h3><p style=\"text-align: left;\"><b>Aula 3 de la ETSI Navales (1\u00aa planta, C. Universitaria)<br \/><\/b><a href=\"https:\/\/urldefense.com\/v3\/__https:\/\/docs.google.com\/presentation\/d\/1r9CtGxi0yE7OkQ6rd3STEnmkrEaQckHN9w4uO9UEpjI\/edit?usp=sharing__;!!D9dNQwwGXtA!VYl6u2xlfjsHHWlCGczpcOEk3mNE6fY0oeuoj8QyS2rcR4r_LJvkkqm44BjZhwXA21vrvoucfXx_49id_tZVAF7g9i7lR0I$\"><b>Link a la charla<\/b><\/a><\/p><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1852\" aria-expanded=\"false\">Resumen<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1852\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1852\" tabindex=\"0\" hidden=\"hidden\"><p>\u00bfQu\u00e9 relaci\u00f3n existe entre el c\u00e1lculo lambda tipado de A. Church y el sistema de deducci\u00f3n natural NJ de G. Gentzen? \u00bfY entre el modelo de computaci\u00f3n de la l\u00f3gica combinatoria y los sistemas de deducci\u00f3n de Hilbert? Seg\u00fan la conocida correspondencia de Curry-Howard, descubierta de manera independiente por Haskell Curry (1958) y William Howard (1968), estos pares de sistemas est\u00e1n profundamente relacionados, hasta el punto de poderse considerar el <i>mismo <\/i>sistema formal. En esta charla ilustraremos con ejemplos sencillos esta correspondencia, mostrando las estrechas relaciones entre las demostraciones de argumentos l\u00f3gicos realizadas en una asignatura de l\u00f3gica formal, y los ejercicios de programaci\u00f3n con tipos algebraicos de datos llevados a cabo en una asignatura de programaci\u00f3n funcional.<\/p><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-ff4c2c0 elementor-section-boxed elementor-section-height-default elementor-section-height-default elementor-invisible\" data-id=\"ff4c2c0\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;animation&quot;:&quot;fadeInRight&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-c6a9f8d\" data-id=\"c6a9f8d\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c2d389e elementor-widget elementor-widget-heading\" data-id=\"c2d389e\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">31 de marzo\n<br>2025<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-286e79f elementor-widget elementor-widget-heading\" data-id=\"286e79f\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">14:30<\/h5>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-530d041\" data-id=\"530d041\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d502f4a elementor-widget elementor-widget-heading\" data-id=\"d502f4a\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/sites.google.com\/view\/elenacastillagonzlez\/\" target=\"_blank\">Elena Castilla (URJC)<\/a><\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-78ac4b1\" data-id=\"78ac4b1\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5a917c7 elementor-tabs-view-vertical elementor-widget elementor-widget-tabs\" data-id=\"5a917c7\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;none&quot;}\" data-widget_type=\"tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-tabs\">\n\t\t\t<div class=\"elementor-tabs-wrapper\" role=\"tablist\" >\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-9491\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-9491\" aria-expanded=\"false\"><a href=\"\">Charla<\/a><\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-9492\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-9492\" aria-expanded=\"false\"><a href=\"\">Resumen<\/a><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t<div class=\"elementor-tabs-content-wrapper\" role=\"tablist\" aria-orientation=\"vertical\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-9491\" aria-expanded=\"false\">Charla<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-9491\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-9491\" tabindex=\"0\" hidden=\"false\"><h3><em><strong>Estad\u00edstica computacional: Estudio de la fiabilidad en dispositivos de un solo uso<\/strong><\/em><\/h3><p><b>Aula 30 de la ETSI Caminos, Canales y Puertos (1\u00aa planta, C. Universitaria)<\/b><\/p><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-9492\" aria-expanded=\"false\">Resumen<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-9492\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-9492\" tabindex=\"0\" hidden=\"hidden\"><p>Los dispositivos de un solo uso son aquellos que, como su nombre indica, s\u00f3lo pueden usarse una vez antes de ser descartados. Su presencia es muy com\u00fan en nuestro d\u00eda a d\u00eda: desde airbags para autom\u00f3viles hasta tests de ant\u00edgenos. Poder alargar su tiempo de vida y detectar qu\u00e9 factores afectan m\u00e1s a su funcionamiento son, por tanto, objetivos de potencial inter\u00e9s. En este seminario explicar\u00e9 como modelizar este tipo de datos desde un punto de vista estad\u00edstico, haciendo un repaso a los trabajos ya desarrollados, as\u00ed como a los retos y dificultades a los que todav\u00eda nos enfrentamos.<\/p><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-de5b99b elementor-section-boxed elementor-section-height-default elementor-section-height-default elementor-invisible\" data-id=\"de5b99b\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;animation&quot;:&quot;fadeInRight&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-bb71012\" data-id=\"bb71012\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-01c1eee elementor-widget elementor-widget-heading\" data-id=\"01c1eee\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">17 de marzo\n<br>2025<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b644e13 elementor-widget elementor-widget-heading\" data-id=\"b644e13\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">14:30<\/h5>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-2ceb203\" data-id=\"2ceb203\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2042a52 elementor-widget elementor-widget-heading\" data-id=\"2042a52\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/albertolastra.web.uah.es\/wp\/\" target=\"_blank\">Alberto Lastra (UAH)<\/a><\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-16a90b7\" data-id=\"16a90b7\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8b0c0ca elementor-tabs-view-vertical elementor-widget elementor-widget-tabs\" data-id=\"8b0c0ca\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;none&quot;}\" data-widget_type=\"tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-tabs\">\n\t\t\t<div class=\"elementor-tabs-wrapper\" role=\"tablist\" >\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1451\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-1451\" aria-expanded=\"false\"><a href=\"\">Charla<\/a><\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1452\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1452\" aria-expanded=\"false\"><a href=\"\">Resumen<\/a><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t<div class=\"elementor-tabs-content-wrapper\" role=\"tablist\" aria-orientation=\"vertical\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-1451\" aria-expanded=\"false\">Charla<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1451\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1451\" tabindex=\"0\" hidden=\"false\"><h3><em><strong>Solutions of linear systems of moment differential equations<\/strong><\/em><\/h3><p><b>Aula 3 de la ETSI Navales (1\u00aa planta, C. Universitaria)<\/b><\/p><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1452\" aria-expanded=\"false\">Resumen<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1452\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1452\" tabindex=\"0\" hidden=\"hidden\"><p>We introduce the concept of moment derivative and its applications in different situations. The general entire solutions to a linear system of moment differential equations is also provided, together with different tools and constructions that generalize the classical ones on systems of differential equations.<\/p><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-4ca7de0 elementor-section-boxed elementor-section-height-default elementor-section-height-default elementor-invisible\" data-id=\"4ca7de0\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;animation&quot;:&quot;fadeInRight&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-5f63861\" data-id=\"5f63861\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0df9028 elementor-widget elementor-widget-heading\" data-id=\"0df9028\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">3 de marzo\n<br>2025<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a15422e elementor-widget elementor-widget-heading\" data-id=\"a15422e\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">14:30<\/h5>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-d5f52e0\" data-id=\"d5f52e0\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-ff803d2 elementor-widget elementor-widget-heading\" data-id=\"ff803d2\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/blogs.mat.ucm.es\/angelgonzalezprieto\/\" target=\"_blank\">\u00c1ngel Gonz\u00e1lez Prieto (UCM)<\/a><\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-2a8f8a7\" data-id=\"2a8f8a7\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5958ac9 elementor-tabs-view-vertical elementor-widget elementor-widget-tabs\" data-id=\"5958ac9\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;none&quot;}\" data-widget_type=\"tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-tabs\">\n\t\t\t<div class=\"elementor-tabs-wrapper\" role=\"tablist\" >\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-9361\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-9361\" aria-expanded=\"false\"><a href=\"\">Charla<\/a><\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-9362\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-9362\" aria-expanded=\"false\"><a href=\"\">Resumen<\/a><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t<div class=\"elementor-tabs-content-wrapper\" role=\"tablist\" aria-orientation=\"vertical\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-9361\" aria-expanded=\"false\">Charla<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-9361\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-9361\" tabindex=\"0\" hidden=\"false\"><h3><strong><em>Aprendizaje autom\u00e1tico: Factorizaci\u00f3n matricial en sistemas de recomendaci\u00f3n<\/em><\/strong><\/h3><p><b>Aula 30 de la ETSI Caminos, Canales y Puertos (1\u00aa planta, C. Universitaria)<\/b><\/p><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-9362\" aria-expanded=\"false\">Resumen<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-9362\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-9362\" tabindex=\"0\" hidden=\"hidden\"><p>En la sociedad de la informaci\u00f3n actual, las personas estamos expuestas a una cantidad masiva de datos. Recomendaciones sobre qu\u00e9 pel\u00edcula ver, a qu\u00e9 destino viajar o qu\u00e9 comprar pueden resultar abrumadoras si no son adecuadamente gestionadas. Para poner orden en este caos, surgieron los sistemas de recomendaci\u00f3n como modelos de aprendizaje autom\u00e1tico capaces de encontrar el elemento adecuado para recomendar a cada usuario.<\/p><p>En esta charla, revisaremos los conceptos fundamentales que subyacen a los modelos de sistemas de recomendaci\u00f3n basados en filtrado colaborativo. Entenderemos que, en \u00faltima instancia, este problema no es sino un problema de competaci\u00f3n de matrices muy dispersas que puede ser abordado desde distintos puntos de vista. De este modo, revisaremos los fundamentos matem\u00e1ticos de algunos algoritmos cl\u00e1sicos basados en factorizaci\u00f3n matricial, hasta m\u00e9todos m\u00e1s avanzados centrados en modelos de m\u00e1xima verosimilitud para ciertas familias de distribuciones de probabilidad. Si el tiempo nos lo permite, hablaremos adicionalmente de otras t\u00e9cnicas importadas de redes neuronales o teor\u00eda espectral de grafos.<\/p><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-90db2bb elementor-section-boxed elementor-section-height-default elementor-section-height-default elementor-invisible\" data-id=\"90db2bb\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;animation&quot;:&quot;fadeInRight&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-eb22dc5\" data-id=\"eb22dc5\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-be66562 elementor-widget elementor-widget-heading\" data-id=\"be66562\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">17 de diciembre\n<br>2024<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-bb74a0d elementor-widget elementor-widget-heading\" data-id=\"bb74a0d\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">19:00<\/h5>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-d35284e\" data-id=\"d35284e\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-931ba96 elementor-widget elementor-widget-heading\" data-id=\"931ba96\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/orcid.org\/0000-0001-7511-561X\" target=\"_blank\">Pablo Angulo (The Basement)<\/a><\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-32b9283\" data-id=\"32b9283\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-54fa1d9 elementor-tabs-view-vertical elementor-widget elementor-widget-tabs\" data-id=\"54fa1d9\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;none&quot;}\" data-widget_type=\"tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-tabs\">\n\t\t\t<div class=\"elementor-tabs-wrapper\" role=\"tablist\" >\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-8911\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-8911\" aria-expanded=\"false\"><a href=\"\">Charla<\/a><\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-8912\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-8912\" aria-expanded=\"false\"><a href=\"\">Resumen<\/a><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t<div class=\"elementor-tabs-content-wrapper\" role=\"tablist\" aria-orientation=\"vertical\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-8911\" aria-expanded=\"false\">Charla<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-8911\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-8911\" tabindex=\"0\" hidden=\"false\"><h3><strong><em>Modeling and optimization of the reach of marketing campaigns in the 21st century<br \/><\/em><\/strong><\/h3><p><b>Aula 1 de la ETSI Navales (1\u00aa planta, C. Universitaria)<\/b><\/p><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-8912\" aria-expanded=\"false\">Resumen<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-8912\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-8912\" tabindex=\"0\" hidden=\"hidden\"><p>Media consumption is undergoing rapid changes. Television is losing audience to new media like video online or connected tv, and traditional ways of measuring media consumption don&#8217;t work any more.<br \/>Among other problems, media campaign planners are having a hard time trying to reach a certain percentage of their target population, since buying more advertisements in the same media will only reach the same people more times. <br \/>Our company, The Basement, partners with Fluzo, which provides us with data that can answer such questions. We present a probabilistic bayesian model based on mixtures of products of Gamma distributions, codename blindshooter, that gives coherent answers to all the planners&#8217; questions, and allows for robust optimization. We will discuss why standard machine learning approaches to this kind of problems are infeasible.<\/p><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-5e07397 elementor-section-boxed elementor-section-height-default elementor-section-height-default elementor-invisible\" data-id=\"5e07397\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;animation&quot;:&quot;fadeInRight&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-165c58f\" data-id=\"165c58f\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-755d527 elementor-widget elementor-widget-heading\" data-id=\"755d527\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">9 de diciembre\n<br>2024<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-da3083e elementor-widget elementor-widget-heading\" data-id=\"da3083e\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">13:45<\/h5>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-a1516ed\" data-id=\"a1516ed\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-16a9688 elementor-widget elementor-widget-heading\" data-id=\"16a9688\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/portalcientifico.uam.es\/es\/ipublic\/researcher\/261700\" target=\"_blank\">Adri\u00e1n Ubis (UAM)<\/a><\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-57dcb38\" data-id=\"57dcb38\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7acc800 elementor-tabs-view-vertical elementor-widget elementor-widget-tabs\" data-id=\"7acc800\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;none&quot;}\" data-widget_type=\"tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-tabs\">\n\t\t\t<div class=\"elementor-tabs-wrapper\" role=\"tablist\" >\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1281\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-1281\" aria-expanded=\"false\"><a href=\"\">Charla<\/a><\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1282\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1282\" aria-expanded=\"false\"><a href=\"\">Resumen<\/a><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t<div class=\"elementor-tabs-content-wrapper\" role=\"tablist\" aria-orientation=\"vertical\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-1281\" aria-expanded=\"false\">Charla<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1281\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1281\" tabindex=\"0\" hidden=\"false\"><h3><strong><em>Puntos del ret\u00edculo en una bola<\/em><\/strong><\/h3><p><b>Aula 32 de la ETSI Caminos, Canales y Puertos (1\u00aa planta, C. Universitaria)<\/b><\/p><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1282\" aria-expanded=\"false\">Resumen<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1282\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1282\" tabindex=\"0\" hidden=\"hidden\"><p>No es dif\u00edcil ver que el n\u00famero de puntos de coordenadas enteras dentro de una bola de radio grande es muy parecido al volumen de dicha bola, pero \u00bfcu\u00e1l deber\u00eda ser el tama\u00f1o de la diferencia entre ambas cantidades? \u00bfEs posible controlar dicho tama\u00f1o con precisi\u00f3n para cualquier radio?<\/p><p>En esta charla tratar\u00e9 de dar respuesta a esas preguntas. Tambi\u00e9n hablar\u00e9 de la historia del problema y de posibles avances futuros.<\/p><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-5b90e4e elementor-section-boxed elementor-section-height-default elementor-section-height-default elementor-invisible\" data-id=\"5b90e4e\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;animation&quot;:&quot;fadeInRight&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-d9fa033\" data-id=\"d9fa033\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-ce7cedd elementor-widget elementor-widget-heading\" data-id=\"ce7cedd\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">27 de Septiembre\n<br>2024<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7af149c elementor-widget elementor-widget-heading\" data-id=\"7af149c\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">13:30<\/h5>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-d394976\" data-id=\"d394976\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7a98f99 elementor-widget elementor-widget-heading\" data-id=\"7a98f99\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/dma.aq.upm.es\/profesor\/rueda_s\/home.html\" target=\"_blank\">Sonia Rueda (ETS Arquitectura, UPM)<\/a><\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-57c93aa\" data-id=\"57c93aa\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a5f1ff9 elementor-tabs-view-vertical elementor-widget elementor-widget-tabs\" data-id=\"a5f1ff9\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;none&quot;}\" data-widget_type=\"tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-tabs\">\n\t\t\t<div class=\"elementor-tabs-wrapper\" role=\"tablist\" >\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1741\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-1741\" aria-expanded=\"false\"><a href=\"\">Charla<\/a><\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1742\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1742\" aria-expanded=\"false\"><a href=\"\">Resumen<\/a><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t<div class=\"elementor-tabs-content-wrapper\" role=\"tablist\" aria-orientation=\"vertical\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-1741\" aria-expanded=\"false\">Charla<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1741\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1741\" tabindex=\"0\" hidden=\"false\"><h3><strong><em>\u00c1lgebra diferencial efectiva para problemas espectrales<\/em><\/strong><\/h3><p><b>Aula 39 de la ETSI Caminos, Canales y Puertos (1\u00aa planta, C. Universitaria)<\/b><\/p><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1742\" aria-expanded=\"false\">Resumen<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1742\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1742\" tabindex=\"0\" hidden=\"hidden\"><p>El tratamiento de ecuaciones diferenciales mediante computaci\u00f3n simb\u00f3lica, tiene como marco natural la teor\u00eda cl\u00e1sica de \u00e1lgebra diferencial desarrollada por Ritt y Kolchin. Combinada con t\u00e9cnicas de \u00e1lgebra algoritmica estamos trabajando en el desarrollo de una teor\u00eda de Galois para problemas espectrales $Ly=\\lambda y$, que est\u00e1n definidos por un operador diferencial ordinario (ODO) algebro-geom\u00e9trico $L$ y un par\u00e1metro espectral $\\lambda$, regido por la famosa curva espectral.<\/p><p>Los resultados obtenidos con J.J. Morales y M.A. Zurro para ODOs de segundo orden, operadores de Schr\u00f6dinger algebro-geom\u00e9tricos, han proporcionado un nuevo enfoque al problema de factorizaci\u00f3n en t\u00e9rminos de par\u00e1metros y nos han permitido definir las extensiones de Picard-Vessiot de los problemas espectrales. La generalizaci\u00f3n al caso de los operadores de orden primo plantea nuevos retos que incluyen el c\u00e1lculo efectivo de pares de Lax, relacionado con las jerarqu\u00edas integrables de Gelfand-Dickey. En particular los operadores de segundo orden est\u00e1n asociados a la jerarqu\u00eda KdV y los de tercer orden a la jerarqu\u00eda de Boussinesq.<\/p><p>En este seminario har\u00e9 una introducci\u00f3n al trabajo realizado en el marco del proyecto \u00abAlgorithmic Differential Algebra and Integrability\u00bb (ADAI), MICINN, PID2021-124473NB-I00. <br \/><a href=\"https:\/\/sites.google.com\/view\/sonialrueda\/proyecto-adai\">https:\/\/sites.google.com\/view\/sonialrueda\/proyecto-adai<\/a><\/p><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-2b91469 elementor-section-stretched elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2b91469\" data-element_type=\"section\" data-settings=\"{&quot;stretch_section&quot;:&quot;section-stretched&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-8387d51\" data-id=\"8387d51\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-060492d elementor-widget elementor-widget-spacer\" data-id=\"060492d\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-1641588 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"1641588\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-7838bed\" data-id=\"7838bed\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0891915 elementor-widget elementor-widget-heading\" data-id=\"0891915\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Curso 23\/24<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-3e4a8fa elementor-section-boxed elementor-section-height-default elementor-section-height-default elementor-invisible\" data-id=\"3e4a8fa\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;animation&quot;:&quot;fadeInRight&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-35d8576\" data-id=\"35d8576\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0eb0a07 elementor-widget elementor-widget-heading\" data-id=\"0eb0a07\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">18 de julio\n<br>2024<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-01a0b84 elementor-widget elementor-widget-heading\" data-id=\"01a0b84\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">18:00<\/h5>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-b21c023\" data-id=\"b21c023\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0dfba7e elementor-widget elementor-widget-heading\" data-id=\"0dfba7e\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/portalcientifico.uam.es\/es\/ipublic\/researcher\/331332\" target=\"_blank\">Victor Maci\u00e1 (UAM)<\/a><\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-1fe6987\" data-id=\"1fe6987\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-184956e elementor-tabs-view-vertical elementor-widget elementor-widget-tabs\" data-id=\"184956e\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;none&quot;}\" data-widget_type=\"tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-tabs\">\n\t\t\t<div class=\"elementor-tabs-wrapper\" role=\"tablist\" >\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-2541\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-2541\" aria-expanded=\"false\"><a href=\"\">Charla<\/a><\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-2542\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-2542\" aria-expanded=\"false\"><a href=\"\">Resumen<\/a><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t<div class=\"elementor-tabs-content-wrapper\" role=\"tablist\" aria-orientation=\"vertical\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-2541\" aria-expanded=\"false\">Charla<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2541\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-2541\" tabindex=\"0\" hidden=\"false\"><h3><strong><em>Gaussianity Criteria for Khinchin Families<\/em><\/strong><\/h3><p><b>Aula 1 de la ETSI Navales (1\u00aa planta, C. Universitaria)<\/b><\/p><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-2542\" aria-expanded=\"false\">Resumen<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2542\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-2542\" tabindex=\"0\" hidden=\"hidden\"><p>In this talk, we will explore various criteria for determining the Gaussianity of Khinchin families. We will begin by introducing the fundamental concepts of Khinchin families, followed by a detailed presentation of several Gaussianity criteria. Throughout this presentation, we will offer several examples and applications.<\/p><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-b327ecd elementor-section-boxed elementor-section-height-default elementor-section-height-default elementor-invisible\" data-id=\"b327ecd\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;animation&quot;:&quot;fadeInRight&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-de5d9b8\" data-id=\"de5d9b8\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-852ab27 elementor-widget elementor-widget-heading\" data-id=\"852ab27\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">25 de junio\n<br>2024<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-eadb35b elementor-widget elementor-widget-heading\" data-id=\"eadb35b\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">15:00<\/h5>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-2122537\" data-id=\"2122537\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-13ea7e7 elementor-widget elementor-widget-heading\" data-id=\"13ea7e7\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/portalcientifico.upm.es\/es\/ipublic\/researcher\/332325\" target=\"_blank\">Somia Boumimez (ETSICCP, UPM)<\/a><\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-308478c\" data-id=\"308478c\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-df9231a elementor-tabs-view-vertical elementor-widget elementor-widget-tabs\" data-id=\"df9231a\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;none&quot;}\" data-widget_type=\"tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-tabs\">\n\t\t\t<div class=\"elementor-tabs-wrapper\" role=\"tablist\" >\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-2341\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-2341\" aria-expanded=\"false\"><a href=\"\">Charla<\/a><\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-2342\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-2342\" aria-expanded=\"false\"><a href=\"\">Resumen<\/a><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t<div class=\"elementor-tabs-content-wrapper\" role=\"tablist\" aria-orientation=\"vertical\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-2341\" aria-expanded=\"false\">Charla<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2341\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-2341\" tabindex=\"0\" hidden=\"false\"><h3><strong><em>Control and numerical approximation of wave and elasticity equation<\/em><\/strong><\/h3><p><b>Aula 31 de la ETSI Caminos (1\u00aa planta, C. Universitaria)<\/b><\/p><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-2342\" aria-expanded=\"false\">Resumen<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2342\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-2342\" tabindex=\"0\" hidden=\"hidden\"><p>We propose a spectral collocation method to approximate the boundary control of wave and elasticity equation in higher dimensions $ (d\\geq2) $. More precisely the control that drives the system from any initial data to rest in a given finite time. The idea is to introduce a suitable approximate control problem in the finite dimensional space of polynomials of degree $ N\\in \\mathbb{N}^d $in space. We prove that we can choose a sequence of controls $ f^N $. associated to the approximate control problem in such a way that they converge, as $ N\\longrightarrow\\infty $, to a control of the continuous system. One case is considered: a unit square domain with Dirichlet controls acting on two adjacent edges.<\/p><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-0bf7e73 elementor-section-boxed elementor-section-height-default elementor-section-height-default elementor-invisible\" data-id=\"0bf7e73\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;animation&quot;:&quot;fadeInRight&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-35d093c\" data-id=\"35d093c\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b158c8e elementor-widget elementor-widget-heading\" data-id=\"b158c8e\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">10 de junio\n<br>2024<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5a18cd1 elementor-widget elementor-widget-heading\" data-id=\"5a18cd1\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">12:30<\/h5>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-4533917\" data-id=\"4533917\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5a03c37 elementor-widget elementor-widget-heading\" data-id=\"5a03c37\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/portalcientifico.upm.es\/es\/ipublic\/researcher\/332325\" target=\"_blank\">Pedro M. G. Manch\u00f3n (ETSIDI, UPM)<\/a><\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-d89e5d7\" data-id=\"d89e5d7\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7475be8 elementor-tabs-view-vertical elementor-widget elementor-widget-tabs\" data-id=\"7475be8\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;none&quot;}\" data-widget_type=\"tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-tabs\">\n\t\t\t<div class=\"elementor-tabs-wrapper\" role=\"tablist\" >\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1221\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-1221\" aria-expanded=\"false\"><a href=\"\">Charla<\/a><\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1222\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1222\" aria-expanded=\"false\"><a href=\"\">Resumen<\/a><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t<div class=\"elementor-tabs-content-wrapper\" role=\"tablist\" aria-orientation=\"vertical\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-1221\" aria-expanded=\"false\">Charla<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1221\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1221\" tabindex=\"0\" hidden=\"false\"><h3><strong><em>Nudos, homolog\u00eda de Khovanov y el misterio de la torsi\u00f3n<\/em><\/strong><\/h3><p><b>Aula 4 de la ETSI Navales (1\u00aa planta, C. Universitaria)<\/b><\/p><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1222\" aria-expanded=\"false\">Resumen<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1222\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1222\" tabindex=\"0\" hidden=\"hidden\"><p>Tras un paseo r\u00e1pido y visual por la teor\u00eda de nudos, explicar\u00e9 qu\u00e9 es la homolog\u00eda de Khovanov y recordar\u00e9 algunos problemas abiertos sobre la presencia de torsi\u00f3n en dicha homolog\u00eda. Por \u00faltimo presentar\u00e9 un patr\u00f3n que permite determinar elementos concretos de torsi\u00f3n.<\/p><p>Trabajo conjunto con Raquel D\u00edaz (UCM).<\/p><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-55085da elementor-section-boxed elementor-section-height-default elementor-section-height-default elementor-invisible\" data-id=\"55085da\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;animation&quot;:&quot;fadeInRight&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-4c3ed6b\" data-id=\"4c3ed6b\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a8ee8b6 elementor-widget elementor-widget-heading\" data-id=\"a8ee8b6\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">21 de mayo\n<br>2024<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c04b762 elementor-widget elementor-widget-heading\" data-id=\"c04b762\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">12:30<\/h5>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-e3ec221\" data-id=\"e3ec221\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4566f4e elementor-widget elementor-widget-heading\" data-id=\"4566f4e\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/portalcientifico.upm.es\/es\/ipublic\/researcher\/332325\" target=\"_blank\">Guillermo G\u00f3mez Tejedor (GeM-UPM)<\/a><\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-d68774c\" data-id=\"d68774c\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-099e53c elementor-tabs-view-vertical elementor-widget elementor-widget-tabs\" data-id=\"099e53c\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;none&quot;}\" data-widget_type=\"tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-tabs\">\n\t\t\t<div class=\"elementor-tabs-wrapper\" role=\"tablist\" >\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1001\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-1001\" aria-expanded=\"false\"><a href=\"\">Charla<\/a><\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1002\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1002\" aria-expanded=\"false\"><a href=\"\">Resumen<\/a><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t<div class=\"elementor-tabs-content-wrapper\" role=\"tablist\" aria-orientation=\"vertical\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-1001\" aria-expanded=\"false\">Charla<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1001\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1001\" tabindex=\"0\" hidden=\"false\"><h3><strong><em>El grupo fundamental y sus aplicaciones en la clasificaci\u00f3n de superficies compactas<\/em><\/strong><\/h3>\n<p><b>Aula D23 de la ETSIAAB (Aulario, 1\u00aa planta, C. Universitaria)<\/b><\/p><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1002\" aria-expanded=\"false\">Resumen<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1002\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1002\" tabindex=\"0\" hidden=\"hidden\"><p>El grupo fundamental es una herramienta algebraica muy \u00fatil en la resoluci\u00f3n de uno de los problemas esenciales de la topolog\u00eda: determinar si dos espacios topol\u00f3gicos son homeomorfos.<\/p><p>A grandes rasgos, el grupo fundamental de un espacio codifica propiedades topol\u00f3gicas mediante relaciones entre caminos cerrados sobre dicho espacio salvo deformaci\u00f3n continua.<br \/>El uso de esta herramienta se apoya en muchos casos en el Teorema de Seifert-Van Kampen que facilita su c\u00e1lculo en gran medida.<\/p><p>Para comenzar pondremos en contexto y definiremos el grupo fundamental. Seguidamente presentaremos el Teorema de Seifert-Van Kampen y por \u00faltimo sus consecuencias en el estudio de la clasificaci\u00f3n de superficies compactas.<\/p><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-9c892ef elementor-section-boxed elementor-section-height-default elementor-section-height-default elementor-invisible\" data-id=\"9c892ef\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;animation&quot;:&quot;fadeInRight&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-99adb22\" data-id=\"99adb22\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-76f2c4f elementor-widget elementor-widget-heading\" data-id=\"76f2c4f\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">30 de abril\n<br>2024<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b575bcf elementor-widget elementor-widget-heading\" data-id=\"b575bcf\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">12:15<\/h5>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-ba3b33b\" data-id=\"ba3b33b\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8360220 elementor-widget elementor-widget-heading\" data-id=\"8360220\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/portalcientifico.upm.es\/es\/ipublic\/researcher\/332325\" target=\"_blank\">Laura Ortiz (ETSIINF, UPM)<\/a><\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-e9fbb1e\" data-id=\"e9fbb1e\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6c73bfb elementor-tabs-view-vertical elementor-widget elementor-widget-tabs\" data-id=\"6c73bfb\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;none&quot;}\" data-widget_type=\"tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-tabs\">\n\t\t\t<div class=\"elementor-tabs-wrapper\" role=\"tablist\" >\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1131\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-1131\" aria-expanded=\"false\"><a href=\"\">Charla<\/a><\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1132\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1132\" aria-expanded=\"false\"><a href=\"\">Resumen<\/a><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t<div class=\"elementor-tabs-content-wrapper\" role=\"tablist\" aria-orientation=\"vertical\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-1131\" aria-expanded=\"false\">Charla<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1131\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1131\" tabindex=\"0\" hidden=\"false\"><h3><strong><em>Introduction to quantum-safe cryptography: post-quantum and quantum cryptography<\/em><\/strong><\/h3><p><b>Aula 31 de ETSI Caminos (1\u00aa planta, C. Universitaria)<\/b><\/p><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1132\" aria-expanded=\"false\">Resumen<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1132\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1132\" tabindex=\"0\" hidden=\"hidden\"><p>We will introduce the key ingredientes of quantum cryptography and its grade of maturity given an example done in a testbed called MadQCI. Also, we will present post-quantum algoritmh and our view of a possible hybridization of these two ways of doing cryptography.<\/p><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-3c6abaa elementor-section-boxed elementor-section-height-default elementor-section-height-default elementor-invisible\" data-id=\"3c6abaa\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;animation&quot;:&quot;fadeInRight&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-719aea8\" data-id=\"719aea8\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-00138b7 elementor-widget elementor-widget-heading\" data-id=\"00138b7\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">9 de abril\n<br>2024<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-517199d elementor-widget elementor-widget-heading\" data-id=\"517199d\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">12:15<\/h5>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-13f3498\" data-id=\"13f3498\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-e8cc9e5 elementor-widget elementor-widget-heading\" data-id=\"e8cc9e5\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/baldursigurds.github.io\/\" target=\"_blank\">Baldur Sigur\u00f0sson (UCM)<\/a><\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-28db39f\" data-id=\"28db39f\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6b442ce elementor-tabs-view-vertical elementor-widget elementor-widget-tabs\" data-id=\"6b442ce\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;none&quot;}\" data-widget_type=\"tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-tabs\">\n\t\t\t<div class=\"elementor-tabs-wrapper\" role=\"tablist\" >\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1121\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-1121\" aria-expanded=\"false\"><a href=\"\">Charla<\/a><\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1122\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1122\" aria-expanded=\"false\"><a href=\"\">Resumen<\/a><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t<div class=\"elementor-tabs-content-wrapper\" role=\"tablist\" aria-orientation=\"vertical\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-1121\" aria-expanded=\"false\">Charla<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1121\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1121\" tabindex=\"0\" hidden=\"false\"><h3><strong><em>La topolog\u00eda de singularidades de curvas planas<\/em><\/strong><\/h3><p><b>Aula 4 de ETSI Navales (1\u00aa planta, C. Universitaria)<\/b><\/p><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1122\" aria-expanded=\"false\">Resumen<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1122\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1122\" tabindex=\"0\" hidden=\"hidden\"><p>Introducimos conceptos fundamentales del estudio de la topolog\u00eda de singularidades de hipersuperficies singulares, centr\u00e1ndonos en el caso de curvas en el plano. Indicamos conexiones con la topolog\u00eda de superficies reales, la topolog\u00eda de 3-variedades, \u00e1lgebra conmutativa y geometr\u00eda anal\u00edtica y algebraica. Finalmente, discutimos resultados recientes y problemas que quedan abiertos.<\/p><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-cae2b77 elementor-section-boxed elementor-section-height-default elementor-section-height-default elementor-invisible\" data-id=\"cae2b77\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;animation&quot;:&quot;fadeInRight&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-7c6bdc8\" data-id=\"7c6bdc8\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f376cc1 elementor-widget elementor-widget-heading\" data-id=\"f376cc1\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">5 de marzo\n<br>2024<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3cd864d elementor-widget elementor-widget-heading\" data-id=\"3cd864d\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">12:15<\/h5>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-5016bb6\" data-id=\"5016bb6\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4b42602 elementor-widget elementor-widget-heading\" data-id=\"4b42602\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><a href=\"http:\/\/andreatellini.weebly.com\/\" target=\"_blank\">Andrea Tellini (ETSIDI, UPM)<\/a><\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-c2c539c\" data-id=\"c2c539c\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-cf9731d elementor-tabs-view-vertical elementor-widget elementor-widget-tabs\" data-id=\"cf9731d\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;none&quot;}\" data-widget_type=\"tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-tabs\">\n\t\t\t<div class=\"elementor-tabs-wrapper\" role=\"tablist\" >\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-2171\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-2171\" aria-expanded=\"false\"><a href=\"\">Charla<\/a><\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-2172\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-2172\" aria-expanded=\"false\"><a href=\"\">Resumen<\/a><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t<div class=\"elementor-tabs-content-wrapper\" role=\"tablist\" aria-orientation=\"vertical\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-2171\" aria-expanded=\"false\">Charla<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2171\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-2171\" tabindex=\"0\" hidden=\"false\"><h3><strong><em>Fen\u00f3menos de propagaci\u00f3n en ecuaciones de reacci\u00f3n-difusi\u00f3n heterog\u00e9neas adyacentes<\/em><br \/><\/strong><\/h3><p><b>Aula 28 de ETSI Caminos (1\u00aa planta, C. Universitaria)<\/b><\/p><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-2172\" aria-expanded=\"false\">Resumen<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2172\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-2172\" tabindex=\"0\" hidden=\"hidden\"><p>Consideraremos unos sistemas de ecuaciones de reacci\u00f3n-difusi\u00f3n motivados por modelos en din\u00e1mica de poblaciones o en epidemiolog\u00eda donde dos densidades ocupan dominios adyacentes y pueden difundirse o reproducirse de manera distinta en cada uno de los dos dominios, permitiendo un transvase entre ellos.<br \/>Analizaremos c\u00f3mo estas heterogeneidades afectan a la propagaci\u00f3n de las densidades en su conjunto, en particular compar\u00e1ndola con situaciones homog\u00e9neas.<br \/>Estos resultados han sido obtenidos en colaboraci\u00f3n con H. Berestycki (EHESS, Par\u00eds), B. Bogosel (\u00c9cole Polytechnique, Par\u00eds), T. Giletti (Univ. de Lorraine), L. Rossi (Univ. Roma 1 La Sapienza) y E. Valdinoci (Univ. Western Australia).<\/p><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-9918640 elementor-section-boxed elementor-section-height-default elementor-section-height-default elementor-invisible\" data-id=\"9918640\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;animation&quot;:&quot;fadeInRight&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-a88f49a\" data-id=\"a88f49a\" data-element_type=\"column\" data-settings=\"{&quot;animation&quot;:&quot;none&quot;}\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1ac10a5 elementor-widget elementor-widget-heading\" data-id=\"1ac10a5\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">15 de diciembre\n<br>2023<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-48e5459 elementor-widget elementor-widget-heading\" data-id=\"48e5459\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">18:00<\/h5>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-5e49a20\" data-id=\"5e49a20\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4f06303 elementor-widget elementor-widget-heading\" data-id=\"4f06303\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/dcain.etsin.upm.es\/~leonardo\/lfj.htm\" target=\"_blank\">Leonardo Fern\u00e1ndez Jambrina (UPM)<\/a><\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-ef29cf9\" data-id=\"ef29cf9\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7fd0d57 elementor-tabs-view-vertical elementor-widget elementor-widget-tabs\" data-id=\"7fd0d57\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;none&quot;}\" data-widget_type=\"tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-tabs\">\n\t\t\t<div class=\"elementor-tabs-wrapper\" role=\"tablist\" >\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1341\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-1341\" aria-expanded=\"false\"><a href=\"\">Charla<\/a><\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1342\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1342\" aria-expanded=\"false\"><a href=\"\">Resumen<\/a><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t<div class=\"elementor-tabs-content-wrapper\" role=\"tablist\" aria-orientation=\"vertical\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-1341\" aria-expanded=\"false\">Charla<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1341\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1341\" tabindex=\"0\" hidden=\"false\"><h3><em><strong>Superficies desarrollables limitadas por curvas spline<\/strong><\/em><\/h3><p><b>Aula 4 de ETSI Navales (1\u00aa planta, C. Universitaria)<\/b><\/p><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1342\" aria-expanded=\"false\">Resumen<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1342\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1342\" tabindex=\"0\" hidden=\"hidden\"><p>En esta charla abordamos el problema de construir una superficie desarrollable limitada por dos curvas racionales a trozos o NURBS (non-uniform rational B-spline).\u00a0 Como es bien sabido, las curvas y superficies NURBS son el est\u00e1ndar del dise\u00f1o geom\u00e9trico asistido por ordenador (CAGD).<br \/><br \/>Las superficies desarrollables son superficies regladas de curvatura gaussiana nula.\u00a0 Se construyen a partir de superficies planas por isometr\u00edas, es decir, cortando, enrollando o doblando, de modo que se preserven las propiedades m\u00e9tricas originales, como longitudes, \u00e1reas y \u00e1ngulos entre curvas.\u00a0 Estas propiedades son de gran inter\u00e9s en la industrias del acero y textil, ya que se pueden crear piezas a partir patrones planos.<br \/><br \/>Este problema se ha abordado de muchas maneras, pero el principal problema es que en general la superficie resultante no va a ser NURBS. Con nuestro enfoque podemos encontrar todas las soluciones al problema, sean aceptables o no.\u00a0 Nos basaremos en reparametrizar una de las curvas, construir la superficie reglada entre estas curvas parametrizadas e imponer que sea desarrollable.\u00a0 La ventaja de este procedimiento es que, al usar como variable la funci\u00f3n de reparametrizaci\u00f3n, se obtiene una ecuaci\u00f3n algebraica.\u00a0 Si las curvas originales son de grado n, la ecuaci\u00f3n es grado 2n-2.\u00a0 Por tanto, dado que el dise\u00f1o emplea curvas c\u00fabicas a trozos, la ecuaci\u00f3n en este caso es cu\u00e1rtica.<\/p><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-2d4ef9e elementor-section-boxed elementor-section-height-default elementor-section-height-default elementor-invisible\" data-id=\"2d4ef9e\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;animation&quot;:&quot;fadeInRight&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-57dff2c\" data-id=\"57dff2c\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-20c5771 elementor-widget elementor-widget-heading\" data-id=\"20c5771\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">17 de noviembre\n<br>2023<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f4b94a8 elementor-widget elementor-widget-heading\" data-id=\"f4b94a8\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">14:00<\/h5>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-33752a9\" data-id=\"33752a9\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-771dc24 elementor-widget elementor-widget-heading\" data-id=\"771dc24\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/sites.google.com\/view\/davidfernandezmaths\/home\/cv\" target=\"_blank\">David Fern\u00e1ndez \u00c1lvarez (UPM)<\/a><\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-e6fc66e\" data-id=\"e6fc66e\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8e4f37d elementor-tabs-view-vertical elementor-widget elementor-widget-tabs\" data-id=\"8e4f37d\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;none&quot;}\" data-widget_type=\"tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-tabs\">\n\t\t\t<div class=\"elementor-tabs-wrapper\" role=\"tablist\" >\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1491\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-1491\" aria-expanded=\"false\"><a href=\"\">Charla<\/a><\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1492\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1492\" aria-expanded=\"false\"><a href=\"\">Resumen<\/a><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t<div class=\"elementor-tabs-content-wrapper\" role=\"tablist\" aria-orientation=\"vertical\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-1491\" aria-expanded=\"false\">Charla<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1491\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1491\" tabindex=\"0\" hidden=\"false\"><h3><strong><em>La tercera identidad de Cartan en geometr\u00eda algebraica no conmutativa<\/em><br \/><\/strong><\/h3><p><b>Aula 28 de ETSI Caminos (1\u00aa planta, C. Universitaria)<\/b><\/p><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1492\" aria-expanded=\"false\">Resumen<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1492\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1492\" tabindex=\"0\" hidden=\"hidden\"><p>Con el objetivo de desarrollar versiones no conmutativas de la geometr\u00eda simpl\u00e9ctica y de Poisson, Crawley-Boevey-Etingof-Ginzburg y Van den Bergh propusieron reemplazar las formas diferenciales y campos vectoriales sobre una variedad por formas diferenciales no conmutativas y dobles derivaciones sobre un \u00e1lgebra asociativa no necesariamente conmutativa. Adem\u00e1s, estos autores introdujeron un c\u00e1lculo de Cartan que involucraba versiones no conmutativas de la diferencial y de los operadores contracci\u00f3n y derivada de Lie. Sin embargo, no consiguieron probar una versi\u00f3n no conmutativa de la llamada tercera identidad de Cartan, $[L_X,L_Y]=L_{[X,Y]}$, donde $X$ e $Y$ son dos dobles derivaciones. Aparte de dar una introducci\u00f3n al \u00e1rea, en esta charla explicaremos una versi\u00f3n no conmutativa de esta tercera identidad de Cartan, que permite establecer un c\u00e1lculo de Cartan diferencial en geometr\u00eda algebraica no conmutativa. Trabajo conjunto con L. \u00c1lvarez-C\u00f3nsul (ICMAT)y R. Heluani (IMPA). <br><\/p><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-58d0ed5 elementor-section-boxed elementor-section-height-default elementor-section-height-default elementor-invisible\" data-id=\"58d0ed5\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;animation&quot;:&quot;fadeInRight&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-252d280\" data-id=\"252d280\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-656b046 elementor-widget elementor-widget-heading\" data-id=\"656b046\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">19 de julio\n<br>2023<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-465bf65 elementor-widget elementor-widget-heading\" data-id=\"465bf65\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">18:00<\/h5>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-333eb74\" data-id=\"333eb74\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0564e29 elementor-widget elementor-widget-heading\" data-id=\"0564e29\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/sites.google.com\/site\/carloscastroba\/\" target=\"_blank\">Carlos Castro (UPM)<\/a><\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-39f4983\" data-id=\"39f4983\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6332516 elementor-tabs-view-vertical elementor-widget elementor-widget-tabs\" data-id=\"6332516\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;none&quot;}\" data-widget_type=\"tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-tabs\">\n\t\t\t<div class=\"elementor-tabs-wrapper\" role=\"tablist\" >\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1041\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-1041\" aria-expanded=\"false\"><a href=\"\">Charla<\/a><\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1042\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1042\" aria-expanded=\"false\"><a href=\"\">Resumen<\/a><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t<div class=\"elementor-tabs-content-wrapper\" role=\"tablist\" aria-orientation=\"vertical\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-1041\" aria-expanded=\"false\">Charla<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1041\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1041\" tabindex=\"0\" hidden=\"false\"><h3><em><strong>El problema de scattering inverso en elasticidad y su aproximaci\u00f3n num\u00e9rica<\/strong><\/em><\/h3><p><b>Aula 32 de ETSI Caminos (1\u00aa planta, C. Universitaria)<\/b><\/p><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1042\" aria-expanded=\"false\">Resumen<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1042\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1042\" tabindex=\"0\" hidden=\"hidden\"><p>En esta charla presentaremos en qu\u00e9 consiste el problema de scattering inverso sobre un medio el\u00e1stico que contiene &#8216;fuerzas vivas&#8217; desconocidas. Veremos c\u00f3mo recuperar esas fuerzas vivas con un algoritmo num\u00e9rico convergente. Esta investigaci\u00f3n est\u00e1 realizada en colaboraci\u00f3n con Mari Cruz Vilela y Juan Antonio Barcel\u00f3 y parte de ella fue publicada en el art\u00edculo premiado de SEMA Journal (Best paper award 2022).<\/p><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-af14960 elementor-section-boxed elementor-section-height-default elementor-section-height-default elementor-invisible\" data-id=\"af14960\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;animation&quot;:&quot;fadeInRight&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-aef9c67\" data-id=\"aef9c67\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-546edb4 elementor-widget elementor-widget-heading\" data-id=\"546edb4\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">23 de mayo\n<br>2023<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e19cfc0 elementor-widget elementor-widget-heading\" data-id=\"e19cfc0\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">12:30<\/h5>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-347b34a\" data-id=\"347b34a\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5448355 elementor-widget elementor-widget-heading\" data-id=\"5448355\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/www.upm.es\/observatorio\/vi\/index.jsp?pageac=investigador.jsp&#038;idInvestigador=33115\" target=\"_blank\">Cristobal Mero\u00f1o (UPM)<\/a><\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-7517bf0\" data-id=\"7517bf0\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c695232 elementor-tabs-view-vertical elementor-widget elementor-widget-tabs\" data-id=\"c695232\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;none&quot;}\" data-widget_type=\"tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-tabs\">\n\t\t\t<div class=\"elementor-tabs-wrapper\" role=\"tablist\" >\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-2081\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-2081\" aria-expanded=\"false\"><a href=\"\">Charla<\/a><\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-2082\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-2082\" aria-expanded=\"false\"><a href=\"\">Resumen<\/a><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t<div class=\"elementor-tabs-content-wrapper\" role=\"tablist\" aria-orientation=\"vertical\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-2081\" aria-expanded=\"false\">Charla<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2081\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-2081\" tabindex=\"0\" hidden=\"false\"><h3><em><strong>La aproximaci\u00f3n de Born y el problema de Calder\u00f3n<\/strong><\/em><\/h3><p><b>Aula 32 de ETSI Caminos (1\u00aa planta, C. Universitaria)<\/b><\/p><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-2082\" aria-expanded=\"false\">Resumen<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2082\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-2082\" tabindex=\"0\" hidden=\"hidden\"><p>Esta charla consiste en una introducci\u00f3n informal a los problemas inversos de EDPs a trav\u00e9s del problema de Calder\u00f3n. El objetivo es ver cuales son las cuestiones fundamentales que se intentan responder, por qu\u00e9 son dif\u00edciles y qu\u00e9 tipo de resultados se conocen. Adem\u00e1s introduciremos la noci\u00f3n de la aproximaci\u00f3n de Born en el contexto de este problema inverso y analizaremos en qu\u00e9 sentido ilumina algunos aspectos principales del problema.<\/p><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-e406824 elementor-section-boxed elementor-section-height-default elementor-section-height-default elementor-invisible\" data-id=\"e406824\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;animation&quot;:&quot;fadeInRight&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-010d97b\" data-id=\"010d97b\" data-element_type=\"column\" data-settings=\"{&quot;animation&quot;:&quot;none&quot;}\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-043ab42 elementor-widget elementor-widget-heading\" data-id=\"043ab42\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">4 de mayo\n<br>2023<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1efbe88 elementor-widget elementor-widget-heading\" data-id=\"1efbe88\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">12:30<\/h5>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-bba7072\" data-id=\"bba7072\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-df0a0a5 elementor-widget elementor-widget-heading\" data-id=\"df0a0a5\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/blogs.upm.es\/fabio-pizzichillo\/\" target=\"_blank\">Fabio Pizzichillo (UPM)<\/a><\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-cfd1186\" data-id=\"cfd1186\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-243bc5d elementor-tabs-view-vertical elementor-widget elementor-widget-tabs\" data-id=\"243bc5d\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;none&quot;}\" data-widget_type=\"tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-tabs\">\n\t\t\t<div class=\"elementor-tabs-wrapper\" role=\"tablist\" >\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-3791\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-3791\" aria-expanded=\"false\"><a href=\"\">Charla<\/a><\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-3792\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-3792\" aria-expanded=\"false\"><a href=\"\">Resumen<\/a><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t<div class=\"elementor-tabs-content-wrapper\" role=\"tablist\" aria-orientation=\"vertical\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-3791\" aria-expanded=\"false\">Charla<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-3791\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-3791\" tabindex=\"0\" hidden=\"false\"><h3><em><strong>Perturbaciones lineales y no-lineales del Hamiltoniano de Dirac<\/strong><\/em><\/h3><p><b>Aula 4 de ETSI Navales (1\u00aa planta, C. Universitaria)<\/b><\/p><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-3792\" aria-expanded=\"false\">Resumen<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-3792\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-3792\" tabindex=\"0\" hidden=\"hidden\"><p>La ecuaci\u00f3n de Dirac es una ecuaci\u00f3n de la mec\u00e1nica cu\u00e1ntica relativista para part\u00edculas de esp\u00edn 1\/2, como los electrones, formulada por el f\u00edsico Paul Dirac en el a\u00f1o 1928.<br \/>Ha tenido un papel fundamental en varias \u00e1reas de la f\u00edsica y de las matem\u00e1ticas moderna. Su expresi\u00f3n es<br \/><br \/>i\u2202tu(t, x) = \/Du(t, x), t \u2208 R, x \u2208 Rd,<br \/><br \/>siendo \/D el operador de Dirac libre.<br \/><br \/>El objetivo de esta charla es de discutir perturbaciones lineales y no lineales de dicho operador. Empezaremos introduciendo las nociones b\u00e1sicas de mec\u00e1nica cu\u00e1ntica relativista que nos permitir\u00e1n formular la ecuaci\u00f3n de Dirac y sus propriedades fundamentales. En seguida, analizaremos modelos perturbados: nos interesa estudiar el operador \/D + V siendo V un potencial singular. Abordaremos problemas que surgen de la f\u00edsica matem\u00e1tica como el de la auto-adjunci\u00f3n y del an\u00e1lisis espectral enfoc\u00e1ndonos en las t\u00e9cnicas utilizadas.<\/p><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-fe53ee6 elementor-section-boxed elementor-section-height-default elementor-section-height-default elementor-invisible\" data-id=\"fe53ee6\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;animation&quot;:&quot;fadeInRight&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-c06f107\" data-id=\"c06f107\" data-element_type=\"column\" data-settings=\"{&quot;animation&quot;:&quot;none&quot;}\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0d308c5 elementor-widget elementor-widget-heading\" data-id=\"0d308c5\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">11 de abril\n<br>2023<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0f5494f elementor-widget elementor-widget-heading\" data-id=\"0f5494f\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">12:30<\/h5>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-b26a0c7\" data-id=\"b26a0c7\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-03583bd elementor-widget elementor-widget-heading\" data-id=\"03583bd\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/sites.google.com\/view\/beatrizpascualescudero\/home\" target=\"_blank\">Beatriz Pascual (UPM)<\/a><\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-89f6fd2\" data-id=\"89f6fd2\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-763192f elementor-tabs-view-vertical elementor-widget elementor-widget-tabs\" data-id=\"763192f\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;none&quot;}\" data-widget_type=\"tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-tabs\">\n\t\t\t<div class=\"elementor-tabs-wrapper\" role=\"tablist\" >\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1231\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-1231\" aria-expanded=\"false\"><a href=\"\">Charla<\/a><\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1232\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1232\" aria-expanded=\"false\"><a href=\"\">Resumen<\/a><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t<div class=\"elementor-tabs-content-wrapper\" role=\"tablist\" aria-orientation=\"vertical\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-1231\" aria-expanded=\"false\">Charla<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1231\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1231\" tabindex=\"0\" hidden=\"false\"><h3><em><strong>Variedades algebraicas en redes de reacciones bioqu\u00edmicas<\/strong><\/em><\/h3><p><b>Aula 30 de ETSI Caminos (1\u00aa planta, C. Universitaria)<\/b><\/p><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1232\" aria-expanded=\"false\">Resumen<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1232\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1232\" tabindex=\"0\" hidden=\"hidden\"><p>En Bioqu\u00edmica, Ecolog\u00eda, Epidemiolog\u00eda y algunos otros campos, las Redes de Reacciones representan interacciones entre especies, como por ejemplo prote\u00ednas en alg\u00fan proceso celular. La evoluci\u00f3n de las concentraciones de estas especies en el proceso se pueden modelar utilizando sistemas de EDOs aut\u00f3nomos, cuyas variables corresponden a las concentraciones de las especies en cada momento. Estas ecuaciones pueden involucrar muchos par\u00e1metros, que en general no se conocen o se miden experimentalmente. Asumiendo algunos tipos de cin\u00e9tica, como acci\u00f3n de masas, las ecuaciones son polinomiales.<\/p><p>Al estudiar los steady states de estos sistemas en el caso polinomial, se est\u00e1 estudiando el conjunto de puntos positivos de una variedad algebraica af\u00edn y, como veremos, aqu\u00ed es donde la Geometr\u00eda Algebraica y el \u00c1lgebra Computacional pueden ayudar: aunque haya muchas variables involucradas y muchos par\u00e1metros desconocidos, el tipo de cin\u00e9tica determina la estructura de los polinomios y por lo tanto variedad. Las particularidades de esta estructura permiten entender algunas propiedades del sistema din\u00e1mico en cuesti\u00f3n y en ocasiones de la red, a\u00fan desconociendo los par\u00e1metros.<\/p><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-9dfe6ad elementor-section-stretched elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"9dfe6ad\" data-element_type=\"section\" data-settings=\"{&quot;stretch_section&quot;:&quot;section-stretched&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-2948ffb\" data-id=\"2948ffb\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5908bb7 elementor-widget elementor-widget-spacer\" data-id=\"5908bb7\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-906c8c7 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"906c8c7\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-c0c1ca4\" data-id=\"c0c1ca4\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7604aa2 elementor-widget elementor-widget-heading\" data-id=\"7604aa2\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">A\u00f1os anteriores<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-939bd0f elementor-section-content-middle elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"939bd0f\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-88e7752\" data-id=\"88e7752\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-69455be elementor-widget elementor-widget-heading\" data-id=\"69455be\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">19 de febrero \n<br>2020<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-2b16d44\" data-id=\"2b16d44\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b9cd86e elementor-widget elementor-widget-heading\" data-id=\"b9cd86e\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/dcain.etsin.upm.es\/~david\/\" target=\"_blank\">David Gonz\u00e1lez (UPM)<\/a><\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-6f76bbe\" data-id=\"6f76bbe\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-87115ed elementor-widget elementor-widget-heading\" data-id=\"87115ed\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-small\">Y mi espacio favorito \u00bftiene curvatura\npositiva? <\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-2bcf270\" data-id=\"2bcf270\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d1ce89f elementor-widget elementor-widget-text-editor\" data-id=\"d1ce89f\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p style=\"text-align: left;\"><span style=\"font-size: 10pt;\">17:30 en el Aula 10 de la<br \/>ETSI Navales. <\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-202f5e2\" data-id=\"202f5e2\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-29af9f8 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"29af9f8\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-5e10175\" data-id=\"5e10175\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f7fe78c elementor-widget elementor-widget-heading\" data-id=\"f7fe78c\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">19 de febrero \n<br>2020<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-409887a\" data-id=\"409887a\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-e782e40 elementor-widget elementor-widget-heading\" data-id=\"e782e40\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/portalcientifico.upm.es\/es\/ipublic\/researcher\/332560\" target=\"_blank\">Luis Maire (UPM)<\/a><\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-0328e01\" data-id=\"0328e01\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1194a67 elementor-widget elementor-widget-heading\" data-id=\"1194a67\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-small\">Soluciones explosivas de ecuaciones el\u00edpticas<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-03c69c1\" data-id=\"03c69c1\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f0fb91b elementor-widget elementor-widget-text-editor\" data-id=\"f0fb91b\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p style=\"text-align: left;\"><span style=\"font-size: 10pt;\">16:30 en el Aula 10 de la<br \/>ETSI Navales. <\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-e4a18da\" data-id=\"e4a18da\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-3a3be40 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3a3be40\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-e331c35\" data-id=\"e331c35\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-e261c70 elementor-widget elementor-widget-heading\" data-id=\"e261c70\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">3 de mayo \n<\/br>2017<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-d6d0547\" data-id=\"d6d0547\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7b3e08d elementor-widget elementor-widget-heading\" data-id=\"7b3e08d\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Luigi Montoro\n(U. Calabria)<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-d99eb66\" data-id=\"d99eb66\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8384414 elementor-widget elementor-widget-heading\" data-id=\"8384414\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-small\">Symmetry and monotonicity of singular solutions to nonlocal problems in bounded and unbounded domains<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-7cf8d20\" data-id=\"7cf8d20\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5b6ae3d elementor-widget elementor-widget-text-editor\" data-id=\"5b6ae3d\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p style=\"text-align: left;\"><span style=\"font-size: 10pt;\">12:30 en el Aula 42 (Jos\u00e9 Echegaray) de la fundaci\u00f3n Agust\u00edn de Betancourt de la ETSI Caminos (primera planta)<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-e584e27\" data-id=\"e584e27\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-96742b6 elementor-button-danger elementor-align-center elementor-widget elementor-widget-button\" data-id=\"96742b6\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"http:\/\/dcain.etsin.upm.es\/~fabricio\/Abstracts\/ResLM.html\" target=\"_blank\" class=\"elementor-button-link elementor-button elementor-size-xs elementor-animation-shrink\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t<span class=\"elementor-button-icon elementor-align-icon-left\">\n\t\t\t\t<i aria-hidden=\"true\" class=\"far fa-file-alt\"><\/i>\t\t\t<\/span>\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Resumen<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6c5a36f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6c5a36f\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-dcc34b1\" data-id=\"dcc34b1\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-edd982b elementor-widget elementor-widget-heading\" data-id=\"edd982b\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">19 de diciembre \n<\/br>2016<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-9bcaef0\" data-id=\"9bcaef0\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0db06bf elementor-widget elementor-widget-heading\" data-id=\"0db06bf\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><a href=\"http:\/\/www.upm.es\/observatorio\/vi\/index.jsp?pageac=investigador.jsp&#038;idInvestigador=26250\" target=\"_blank\">Susana Merch\u00e1n \n(UPM)<\/a><\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-0a85359\" data-id=\"0a85359\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-fde0317 elementor-widget elementor-widget-heading\" data-id=\"fde0317\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-small\">Existencia y no existencia de soluci\u00f3n en problemas el\u00edpticos y parab\u00f3licos y la influencia del potencial de Hardy en dichos problemas<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-1cce6b0\" data-id=\"1cce6b0\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5cbf276 elementor-widget elementor-widget-text-editor\" data-id=\"5cbf276\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p style=\"text-align: left;\"><span style=\"font-size: 10pt;\">A las 12:40 en el Aula de Seminarios de la ETSI Caminos (primera planta)<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-b6bbe0b\" data-id=\"b6bbe0b\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2bc5005 elementor-button-danger elementor-align-center elementor-widget elementor-widget-button\" data-id=\"2bc5005\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"http:\/\/dcain.etsin.upm.es\/~fabricio\/Abstracts\/ResSM.html\" target=\"_blank\" class=\"elementor-button-link elementor-button elementor-size-xs elementor-animation-shrink\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t<span class=\"elementor-button-icon elementor-align-icon-left\">\n\t\t\t\t\t\t\t\t\t<i class=\"fa fa-file-text-o\" aria-hidden=\"true\"><\/i>\n\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Resumen<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-qqqjdkt elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"qqqjdkt\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-fc1ynnk\" data-id=\"fc1ynnk\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-gene0nq elementor-widget elementor-widget-heading\" data-id=\"gene0nq\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">28 de noviembre <\/br>2016<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-vuuneop\" data-id=\"vuuneop\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-t7nav2v elementor-widget elementor-widget-heading\" data-id=\"t7nav2v\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><a href=\"http:\/\/verso.mat.uam.es\/~pablo.angulo\/index.html\" target=\"_blank\">Pablo Angulo<br>(UPM)<\/a><\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-c8xkp1l\" data-id=\"c8xkp1l\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8opyuyb elementor-widget elementor-widget-heading\" data-id=\"8opyuyb\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-small\">El lugar singular de las soluciones a problemas de contorno con ecuaciones de Hamilton-Jacobi<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-reef9vd\" data-id=\"reef9vd\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-9gf7r8x elementor-widget elementor-widget-text-editor\" data-id=\"9gf7r8x\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p style=\"text-align: left;\"><span style=\"font-size: 10pt;\">A las 12:40 en el Aula de Seminarios de la ETSI Caminos (primera planta)<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-5p89aha\" data-id=\"5p89aha\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3x01nzm elementor-button-danger elementor-align-center elementor-widget elementor-widget-button\" data-id=\"3x01nzm\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"http:\/\/dcain.etsin.upm.es\/~fabricio\/Abstracts\/ResPA.html\" target=\"_blank\" class=\"elementor-button-link elementor-button elementor-size-xs elementor-animation-shrink\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t<span class=\"elementor-button-icon elementor-align-icon-left\">\n\t\t\t\t\t\t\t\t\t<i class=\"fa fa-file-text-o\" aria-hidden=\"true\"><\/i>\n\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Resumen<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-capqep0 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"capqep0\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-ne4hnuh\" data-id=\"ne4hnuh\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-nvzt2ic elementor-widget elementor-widget-heading\" data-id=\"nvzt2ic\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">3 y 4 noviembre <\/br>2016<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-ci9ik5b\" data-id=\"ci9ik5b\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-wdlhffz elementor-widget elementor-widget-heading\" data-id=\"wdlhffz\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><a href=\"http:\/\/verso.mat.uam.es\/~pablo.angulo\/index.html\" target=\"_blank\">Pedro Caro<br>(BCAM)<\/a><\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-kw6h34p\" data-id=\"kw6h34p\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8zpe1ag elementor-widget elementor-widget-heading\" data-id=\"8zpe1ag\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-small\">Inverse scattering in random media<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-oxhd2ku\" data-id=\"oxhd2ku\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-bwl3akx elementor-widget elementor-widget-text-editor\" data-id=\"bwl3akx\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"font-size: 10pt;\">Mini-curso.<br \/> <\/span><span style=\"font-size: 10pt;\">J-3: 10:30 &#8211; 13:00<\/span><br \/> <span style=\"font-size: 10pt;\">V-4: 11:00 &#8211; 13:30<\/span><br \/> <span style=\"font-size: 10pt;\">En el Aula de Seminarios de la ETSI Caminos (primera planta)<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-d2fjhi7\" data-id=\"d2fjhi7\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-81ixkgt elementor-button-danger elementor-align-center elementor-widget elementor-widget-button\" data-id=\"81ixkgt\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"http:\/\/dcain.etsin.upm.es\/~fabricio\/Abstracts\/ResPC.html\" target=\"_blank\" class=\"elementor-button-link elementor-button elementor-size-xs elementor-animation-shrink\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t<span class=\"elementor-button-icon elementor-align-icon-left\">\n\t\t\t\t\t\t\t\t\t<i class=\"fa fa-file-text-o\" aria-hidden=\"true\"><\/i>\n\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Resumen<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-9r691v3 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"9r691v3\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-37awxqo\" data-id=\"37awxqo\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-fsubrjt elementor-widget elementor-widget-heading\" data-id=\"fsubrjt\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">10 de octubre <\/br>2016<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-5x4xb5r\" data-id=\"5x4xb5r\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-78wfvik elementor-widget elementor-widget-heading\" data-id=\"78wfvik\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><a href=\"http:\/\/www.upm.es\/observatorio\/vi\/index.jsp?pageac=investigador.jsp&#038;idInvestigador=25842\" target=\"_blank\">Mari Cruz Vilela\n(UPM)<\/a><\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-zakxke9\" data-id=\"zakxke9\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-cnw42qh elementor-widget elementor-widget-heading\" data-id=\"cnw42qh\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-small\">Unicidad para un problema inverso de frontera en medios el\u00e1sticos<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-xiuqu1m\" data-id=\"xiuqu1m\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4qrq4ss elementor-widget elementor-widget-text-editor\" data-id=\"4qrq4ss\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p style=\"text-align: left;\"><span style=\"font-size: 10pt;\">A las 12:40 en el aula 10 de la ETSI Navales (primera planta)<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-niu5con\" data-id=\"niu5con\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-j16vrm0 elementor-button-danger elementor-align-center elementor-widget elementor-widget-button\" data-id=\"j16vrm0\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"http:\/\/dcain.etsin.upm.es\/~fabricio\/Abstracts\/ResMC.html\" target=\"_blank\" class=\"elementor-button-link elementor-button elementor-size-xs elementor-animation-shrink\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t<span class=\"elementor-button-icon elementor-align-icon-left\">\n\t\t\t\t\t\t\t\t\t<i class=\"fa fa-file-text-o\" aria-hidden=\"true\"><\/i>\n\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Resumen<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Actualmente 08 de enero 2026 18:00 PABLO GABRIEL ZANINELLI GARCIA (UPM) Charla Resumen Charla M\u00e1s all\u00e1 de los m\u00e9todos cl\u00e1sicos de atribuci\u00f3n: atribuci\u00f3n r\u00e1pida y explicable de eventos extremos con modelos de ML Aula 2 de la ETSI Navales (1\u00aa planta, C. Universitaria) Resumen En esta presentaci\u00f3n se parte de un repaso de los m\u00e9todos <a href=\"https:\/\/www1.caminos.upm.es\/matematicas\/seminarios\/\" rel=\"nofollow\"><span class=\"sr-only\">Leer m\u00e1sSeminarios<\/span>[&hellip;]<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"template-fullwidth.php","meta":[],"_links":{"self":[{"href":"https:\/\/www1.caminos.upm.es\/matematicas\/wp-json\/wp\/v2\/pages\/709"}],"collection":[{"href":"https:\/\/www1.caminos.upm.es\/matematicas\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www1.caminos.upm.es\/matematicas\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www1.caminos.upm.es\/matematicas\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www1.caminos.upm.es\/matematicas\/wp-json\/wp\/v2\/comments?post=709"}],"version-history":[{"count":167,"href":"https:\/\/www1.caminos.upm.es\/matematicas\/wp-json\/wp\/v2\/pages\/709\/revisions"}],"predecessor-version":[{"id":8274,"href":"https:\/\/www1.caminos.upm.es\/matematicas\/wp-json\/wp\/v2\/pages\/709\/revisions\/8274"}],"wp:attachment":[{"href":"https:\/\/www1.caminos.upm.es\/matematicas\/wp-json\/wp\/v2\/media?parent=709"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}